Problem

Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation). ${ }_{46} \mathrm{C}_{2}$ \[ { }_{46} C_{2}= \]

Solution

Step 1 :The given expression is a combination, which is a way of selecting items from a larger set. In this case, we are selecting 2 items from a set of 46.

Step 2 :The formula for a combination is: \(C(n, k) = \frac{n!}{k!(n-k)!}\), where n is the total number of items, k is the number of items to select, and '!' denotes factorial, which is the product of all positive integers up to that number.

Step 3 :So, to solve this problem, we need to calculate: \(C(46, 2) = \frac{46!}{2!(46-2)!}\)

Step 4 :Final Answer: \(\boxed{1035}\)

From Solvely APP
Source: https://solvelyapp.com/problems/17888/

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